1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Complex Analysis: Properties of Line Integrals

  1. Oct 12, 2011 #1
    1. The problem statement, all variables and given/known data

    Demonstrate that [tex]\int_{-\gamma} f(z)|dz|=\int_{\gamma} f(z)|dz|[/tex] where [tex]\gamma[/tex] is a piecewise smooth path and f is a function that is continuous on [tex]|\gamma|[/tex].


    2. Relevant equations



    3. The attempt at a solution

    This proof seems like it should be very simple, but I am not sure it is really saying that it's just turning a path around to go in the opposite direction. Could someone please help me out? Thanks.
     
  2. jcsd
  3. Oct 13, 2011 #2

    HallsofIvy

    User Avatar
    Science Advisor

    Consider the substitution u= -z.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook